Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6301/704,7477/3347
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 6301,7477
Greatest Common Factor of Numerators i.e. GCF of 6301,7477 is 1 .
LCM of Denominators means LCM of 704,3347 as per the given fractions.
LCM of 704,3347 is 2356288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6301,7477
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6301
List of positive integer factors of 6301 that divides 6301 without a remainder.
1,6301
Factors of 7477
List of positive integer factors of 7477 that divides 7477 without a remainder.
1,7477
Greatest Common Factor
We found the factors 6301,7477 . The biggest common factor number is the GCF number.
So the greatest common factor 6301,7477 is 1.
Lets's calculate LCM of 704,3347
Given numbers has no common factors except 1. So, there LCM is their product i.e 2356288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2356288
Therefore, the GCF of Fractions 6301/704,7477/3347 is 1/2356288
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 704,3347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,3347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,3347) x common factors =1 x 1 = 1
LCM(704,3347) = ( 704 × 3347 ) / 1
LCM(704,3347) = 2356288 / 1
LCM(704,3347) = 2356288
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 6301/704, 7477/3347?
Answer: GCF of Numerators as per given numbers 6301/704, 7477/3347 is
GCF of Numerators i.e. for 6301,7477 is 1
LCM of denominators i.e. for 704,3347 is 2356288.
Thus, GCF of Fractions is 1/2356288.Finally, GCF of Fractions for 6301/704, 7477/3347 is 1/2356288.